Uniform Law of the Logarithm for the Conditional Distribution Function and Application to Certainty Bands
نویسندگان
چکیده
In this paper, we establish exact rate of strong uniform consistency for the local linear estimator of the conditional distribution function. As a consequence of our main result, we give asymptotic uniform certainty bands. We illustrate our results with simulations. 1Équipe Probabilités et Statistiques, IECN, Nancy-Université, CNRS, INRIA Bd des Aiguillettes, B.P. 239, 54506 Vandoeuvre-lès-Nancy, France 2 Équipe de Statistique, IRMA, Université de Strasbourg, 7 rue René Descartes, 67084 Strasbourg, France [email protected], [email protected], [email protected]
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